Quadrantal Angles Worksheet - Jefferson Davis Learning Center, Sandra Peterson
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1Quadrantal Angles
Jefferson Davis Learning Center
Sandra Peterson
Directions: Use the unit circle to determine the six trigonometric values of each of the
quadrantal angles.
Remember:
• ( x-coordinate, y-coordinate )
• Sine of a quadrantal angle is the y-coordinate
• Cosine of a quadrantal angle is the x-coordinate
• tan θ = sin θ /cos θ
• cot θ = cos θ /sin θ
• sec θ = 1/cos θ
csc θ = 1/sin θ
•
°
=
°
=
° 0
=
sin
0
0
cos
0
1
tan
1.
2.
3.
° 0
=
° 0
=
° 0
=
cot
sec
csc
4.
5.
6.
°
=
°
=
°
=
sin
90
cos
90
tan
90
7.
8.
9.
°
=
°
=
°
=
cot
90
sec
90
csc
90
10.
11.
12.
°
=
°
=
°
=
sin
180
cos
180
tan
180
13.
14.
15.
°
=
°
=
°
=
cot
180
sec
180
csc
180
16.
17.
18.
°
=
°
=
°
=
sin
270
cos
270
tan
270
19.
20.
21.
°
=
°
=
°
=
cot
270
sec
270
csc
270
22.
23.
24.
°
=
°
=
°
=
sin
360
cos
360
tan
360
25.
26.
27.
°
=
°
=
°
=
cot
360
sec
360
csc
360
28.
29.
30.
°
=
°
=
°
=
sin
450
cos
1170
tan
900
31.
32.
33.
°
=
−
°
=
−
°
=
cot
630
sec(
270
)
csc(
540
)
34.
35.
36.
Answers:
1. 0
2. 1
3. 0
4. und
5. 1
6. und
7. 1
8. 0
9. und
10. 0
11. und
12. 1
−
−
13. 0
14.
1
15. 0
16. und
17.
1
18. und
−
−
19.
1
20. 0
21. und
22. 0
23. und
24. 1
25. 0
26. 1
27. 0
28. und
29. 1
30. und
31. 1
32. 0
33. 0
34. 0
35. und
36. und
Please visit the Math Center for further assistance.
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